Amaresh Debnath, Runu Dhar, and B.C. Tripathy,
On a Class of Difference Sequences of Multiset Real Number Related to $\ell_p$-Space,
Indian Journal of Mathematics,
Volume 67,
Issue 02,
2025,
Pages 267--279,
ISSN 0019-5324,
Abstract:In this article we introduce $m(\phi, n, \Delta)$, the class of differences sequences of multiset real numbers relating to $\ell_p$-space ($p \geq 1$). We have studied its different properties like linearity, completeness, solidity, symmetry, convexity, convergence free, sequence algebra etc. We have investigated its different properties. Also we have obtained some inclusion results involving this sequence space.
Keywords: Completeness; convexity; solid; symmetricity; sequence algebra; convergence free.